%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : PUZ090^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:36:55 AM UTC 2026
% Result : Theorem 0.07s 0.22s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 81 ( 42 unt; 0 typ; 0 def)
% Number of atoms : 571 ( 139 equ; 0 cnn)
% Maximal formula atoms : 31 ( 7 avg)
% Number of connectives : 323 ( 111 ~; 104 |; 58 &; 0 @)
% ( 0 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 15 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cCOLD,type,
cCOLD: $o ).
thf(tp_cEAST,type,
cEAST: $o ).
thf(tp_cFIRE,type,
cFIRE: $o ).
thf(tp_cFLUTE,type,
cFLUTE: $o ).
thf(tp_cFOGGY,type,
cFOGGY: $o ).
thf(tp_cGUSTY,type,
cGUSTY: $o ).
thf(tp_cHEADACHE,type,
cHEADACHE: $o ).
thf(tp_cOPEN_DOOR,type,
cOPEN_DOOR: $o ).
thf(tp_cOPEN_WINDOW,type,
cOPEN_WINDOW: $o ).
thf(tp_cRHEUMATIC,type,
cRHEUMATIC: $o ).
thf(tp_cSMOKE,type,
cSMOKE: $o ).
thf(tp_cSMOKES,type,
cSMOKES: $o ).
thf(tp_cSUNSHINE,type,
cSUNSHINE: $o ).
thf(1,conjecture,
( ( ( cEAST
=> cSUNSHINE )
& ( ( cCOLD
& cFOGGY )
=> cFLUTE )
& ( ( cFIRE
& cSMOKE )
=> cOPEN_DOOR )
& ( ( cCOLD
& cRHEUMATIC )
=> cFIRE )
& ( ( cEAST
& cGUSTY )
=> cSMOKES )
& ( cOPEN_DOOR
=> ~ cHEADACHE )
& ( cFOGGY
=> ~ cOPEN_WINDOW )
& ( ( ~ cGUSTY
& cFIRE
& ~ cOPEN_DOOR )
=> ~ cRHEUMATIC )
& ( cSUNSHINE
=> cFOGGY )
& ( cFLUTE
=> ~ cOPEN_DOOR )
& ( ( cFOGGY
& cEAST )
=> cRHEUMATIC ) )
=> ( cEAST
=> ~ cOPEN_WINDOW ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM210) ).
thf(2,negated_conjecture,
( ( ( ( cEAST
=> cSUNSHINE )
& ( ( cCOLD
& cFOGGY )
=> cFLUTE )
& ( ( cFIRE
& cSMOKE )
=> cOPEN_DOOR )
& ( ( cCOLD
& cRHEUMATIC )
=> cFIRE )
& ( ( cEAST
& cGUSTY )
=> cSMOKES )
& ( cOPEN_DOOR
=> ~ cHEADACHE )
& ( cFOGGY
=> ~ cOPEN_WINDOW )
& ( ( ~ cGUSTY
& cFIRE
& ~ cOPEN_DOOR )
=> ~ cRHEUMATIC )
& ( cSUNSHINE
=> cFOGGY )
& ( cFLUTE
=> ~ cOPEN_DOOR )
& ( ( cFOGGY
& cEAST )
=> cRHEUMATIC ) )
=> ( cEAST
=> ~ cOPEN_WINDOW ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ( cEAST
=> cSUNSHINE )
& ( ( cCOLD
& cFOGGY )
=> cFLUTE )
& ( ( cFIRE
& cSMOKE )
=> cOPEN_DOOR )
& ( ( cCOLD
& cRHEUMATIC )
=> cFIRE )
& ( ( cEAST
& cGUSTY )
=> cSMOKES )
& ( cOPEN_DOOR
=> ~ cHEADACHE )
& ( cFOGGY
=> ~ cOPEN_WINDOW )
& ( ( ~ cGUSTY
& cFIRE
& ~ cOPEN_DOOR )
=> ~ cRHEUMATIC )
& ( cSUNSHINE
=> cFOGGY )
& ( cFLUTE
=> ~ cOPEN_DOOR )
& ( ( cFOGGY
& cEAST )
=> cRHEUMATIC ) )
=> ( cEAST
=> ~ cOPEN_WINDOW ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( cEAST
=> cSUNSHINE )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ( cCOLD
& cFOGGY )
=> cFLUTE )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ( cFIRE
& cSMOKE )
=> cOPEN_DOOR )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ( cCOLD
& cRHEUMATIC )
=> cFIRE )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( ( cEAST
& cGUSTY )
=> cSMOKES )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(9,plain,
( ( cOPEN_DOOR
=> ~ cHEADACHE )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(10,plain,
( ( cFOGGY
=> ~ cOPEN_WINDOW )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(11,plain,
( ( ( ~ cGUSTY
& cFIRE
& ~ cOPEN_DOOR )
=> ~ cRHEUMATIC )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(12,plain,
( ( cSUNSHINE
=> cFOGGY )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(13,plain,
( ( cFLUTE
=> ~ cOPEN_DOOR )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(14,plain,
( ( ( cFOGGY
& cEAST )
=> cRHEUMATIC )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(15,plain,
cEAST = $true,
inference(standard_cnf,[status(thm)],[3]) ).
thf(16,plain,
( ( ~ cOPEN_WINDOW ) = $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(17,plain,
cOPEN_WINDOW = $true,
inference(polarity_switch,[status(thm)],[16]) ).
thf(18,plain,
( ( ~ cEAST
| cSUNSHINE )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(19,plain,
( ( ~ cCOLD
| ~ cFOGGY
| cFLUTE )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(20,plain,
( ( ~ cFIRE
| ~ cSMOKE
| cOPEN_DOOR )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(21,plain,
( ( ~ cCOLD
| ~ cRHEUMATIC
| cFIRE )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(22,plain,
( ( ~ cEAST
| ~ cGUSTY
| cSMOKES )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(23,plain,
( ( ~ cOPEN_DOOR
| ~ cHEADACHE )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(24,plain,
( ( ~ cFOGGY
| ~ cOPEN_WINDOW )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(25,plain,
( ( cGUSTY
| ~ cFIRE
| cOPEN_DOOR
| ~ cRHEUMATIC )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(26,plain,
( ( ~ cSUNSHINE
| cFOGGY )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(27,plain,
( ( ~ cFLUTE
| ~ cOPEN_DOOR )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(28,plain,
( ( ~ cEAST
| ~ cFOGGY
| cRHEUMATIC )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(29,plain,
cEAST = $true,
inference(copy,[status(thm)],[15]) ).
thf(30,plain,
( ( ~ cEAST
| ~ cFOGGY
| cRHEUMATIC )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(31,plain,
( ( ~ cFLUTE
| ~ cOPEN_DOOR )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(32,plain,
( ( ~ cSUNSHINE
| cFOGGY )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(33,plain,
( ( cGUSTY
| ~ cFIRE
| cOPEN_DOOR
| ~ cRHEUMATIC )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(34,plain,
( ( ~ cFOGGY
| ~ cOPEN_WINDOW )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(35,plain,
( ( ~ cOPEN_DOOR
| ~ cHEADACHE )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(36,plain,
( ( ~ cEAST
| ~ cGUSTY
| cSMOKES )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(37,plain,
( ( ~ cCOLD
| ~ cRHEUMATIC
| cFIRE )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(38,plain,
( ( ~ cFIRE
| ~ cSMOKE
| cOPEN_DOOR )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(39,plain,
( ( ~ cCOLD
| ~ cFOGGY
| cFLUTE )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(40,plain,
( ( ~ cEAST
| cSUNSHINE )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(41,plain,
cOPEN_WINDOW = $true,
inference(copy,[status(thm)],[17]) ).
thf(42,plain,
( ( ( ~ cEAST
| ~ cFOGGY )
= $true )
| ( cRHEUMATIC = $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(43,plain,
( ( ( ~ cFLUTE ) = $true )
| ( ( ~ cOPEN_DOOR ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(44,plain,
( ( ( ~ cSUNSHINE ) = $true )
| ( cFOGGY = $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(45,plain,
( ( ( cGUSTY
| ~ cFIRE
| cOPEN_DOOR )
= $true )
| ( ( ~ cRHEUMATIC ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(46,plain,
( ( ( ~ cFOGGY ) = $true )
| ( ( ~ cOPEN_WINDOW ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(47,plain,
( ( ( ~ cOPEN_DOOR ) = $true )
| ( ( ~ cHEADACHE ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(48,plain,
( ( ( ~ cEAST
| ~ cGUSTY )
= $true )
| ( cSMOKES = $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(49,plain,
( ( ( ~ cCOLD
| ~ cRHEUMATIC )
= $true )
| ( cFIRE = $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(50,plain,
( ( ( ~ cFIRE
| ~ cSMOKE )
= $true )
| ( cOPEN_DOOR = $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(51,plain,
( ( ( ~ cCOLD
| ~ cFOGGY )
= $true )
| ( cFLUTE = $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(52,plain,
( ( ( ~ cEAST ) = $true )
| ( cSUNSHINE = $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(53,plain,
( ( ( ~ cEAST ) = $true )
| ( ( ~ cFOGGY ) = $true )
| ( cRHEUMATIC = $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(54,plain,
( ( cFLUTE = $false )
| ( ( ~ cOPEN_DOOR ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(55,plain,
( ( cSUNSHINE = $false )
| ( cFOGGY = $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(56,plain,
( ( ( cGUSTY
| ~ cFIRE )
= $true )
| ( cOPEN_DOOR = $true )
| ( ( ~ cRHEUMATIC ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(57,plain,
( ( cFOGGY = $false )
| ( ( ~ cOPEN_WINDOW ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(58,plain,
( ( cOPEN_DOOR = $false )
| ( ( ~ cHEADACHE ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(59,plain,
( ( ( ~ cEAST ) = $true )
| ( ( ~ cGUSTY ) = $true )
| ( cSMOKES = $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(60,plain,
( ( ( ~ cCOLD ) = $true )
| ( ( ~ cRHEUMATIC ) = $true )
| ( cFIRE = $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(61,plain,
( ( ( ~ cFIRE ) = $true )
| ( ( ~ cSMOKE ) = $true )
| ( cOPEN_DOOR = $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(62,plain,
( ( ( ~ cCOLD ) = $true )
| ( ( ~ cFOGGY ) = $true )
| ( cFLUTE = $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(63,plain,
( ( cEAST = $false )
| ( cSUNSHINE = $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(64,plain,
( ( cEAST = $false )
| ( ( ~ cFOGGY ) = $true )
| ( cRHEUMATIC = $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(65,plain,
( ( cOPEN_DOOR = $false )
| ( cFLUTE = $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(66,plain,
( ( cGUSTY = $true )
| ( ( ~ cFIRE ) = $true )
| ( cOPEN_DOOR = $true )
| ( ( ~ cRHEUMATIC ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(67,plain,
( ( cOPEN_WINDOW = $false )
| ( cFOGGY = $false ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(68,plain,
( ( cHEADACHE = $false )
| ( cOPEN_DOOR = $false ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(69,plain,
( ( cEAST = $false )
| ( ( ~ cGUSTY ) = $true )
| ( cSMOKES = $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(70,plain,
( ( cCOLD = $false )
| ( ( ~ cRHEUMATIC ) = $true )
| ( cFIRE = $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(71,plain,
( ( cFIRE = $false )
| ( ( ~ cSMOKE ) = $true )
| ( cOPEN_DOOR = $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(72,plain,
( ( cCOLD = $false )
| ( ( ~ cFOGGY ) = $true )
| ( cFLUTE = $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(73,plain,
( ( cFOGGY = $false )
| ( cEAST = $false )
| ( cRHEUMATIC = $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(74,plain,
( ( cFIRE = $false )
| ( cGUSTY = $true )
| ( cOPEN_DOOR = $true )
| ( ( ~ cRHEUMATIC ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(75,plain,
( ( cGUSTY = $false )
| ( cEAST = $false )
| ( cSMOKES = $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(76,plain,
( ( cRHEUMATIC = $false )
| ( cCOLD = $false )
| ( cFIRE = $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(77,plain,
( ( cSMOKE = $false )
| ( cFIRE = $false )
| ( cOPEN_DOOR = $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(78,plain,
( ( cFOGGY = $false )
| ( cCOLD = $false )
| ( cFLUTE = $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(79,plain,
( ( cRHEUMATIC = $false )
| ( cOPEN_DOOR = $true )
| ( cGUSTY = $true )
| ( cFIRE = $false ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(80,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[29,79,78,77,76,75,73,68,67,65,63,55,41]) ).
thf(81,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ090^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n019.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Oct 6 13:59:46 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.22
% 0.07/0.22 No.of.Axioms: 0
% 0.07/0.22
% 0.07/0.22 Length.of.Defs: 0
% 0.07/0.22
% 0.07/0.22 Contains.Choice.Funs: false
% 0.07/0.22 .
% 0.07/0.22
% 0.07/0.22 ********************************
% 0.07/0.22 * All subproblems solved! *
% 0.07/0.22 ********************************
% 0.07/0.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:12,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:80,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.07/0.22
% 0.07/0.22 %**** Beginning of derivation protocol ****
% 0.07/0.22 % SZS output start CNFRefutation
% See solution above
% 0.07/0.22
% 0.07/0.22 %**** End of derivation protocol ****
% 0.07/0.22 %**** no. of clauses in derivation: 81 ****
% 0.07/0.22 %**** clause counter: 80 ****
% 0.07/0.22
% 0.07/0.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:12,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:80,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------